Finding the Third Proportional to 196,992 and 288,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,992 : 288,499.50 = 288,499.50 : x
2. Step 2: Convert to fraction form
   196,992/288,499.50 = 288,499.50/x
3. Step 3: Cross multiply
   196,992x = 288,499.50 × 288,499.50
4. Step 4: Simplify right side
   196,992x = 83,231,961,500.25
5. Step 5: Solve for x
   x = 83,231,961,500.25/196,992
6. Step 6: Final answer
   x = 422,514.42